College

What is the quotient of [tex]$820,000 \div 10,000$[/tex]?

A. 82
B. 820
C. 8,200
D. 82,000

Answer :

To find the quotient of [tex]\(820,000 \div 10,000\)[/tex], you can break it down into simpler steps:

1. Identify the numbers: We have 820,000 that we need to divide by 10,000.

2. Use division properties: When dividing numbers that are multiples of 10, you can simplify the calculation by canceling out the zeros:

- Write 820,000 as [tex]\(820,000.0\)[/tex]
- Write 10,000 as [tex]\(10,000.0\)[/tex]

3. Cancel out zeros: Since both numbers are multiples of 10, you can cancel out the three zeros from the end of both numbers:

[tex]\[
\frac{820,000}{10,000} = \frac{820 \cancel{,000}}{1 \cancel{0,000}}
\][/tex]

After canceling the zeros, you're left with:

[tex]\[
\frac{820}{10} = 82
\][/tex]

4. Quotient is 82: The result of dividing 820 by 10 is 82.

So, the quotient of 820,000 divided by 10,000 is 82.